856891735056 has 320 divisors, whose sum is σ = 2978834342400. Its totient is φ = 230617497600.

The previous prime is 856891734991. The next prime is 856891735087. The reversal of 856891735056 is 650537198658.

856891735056 is a `hidden beast` number, since 8 + 56 + 8 + 9 + 1 + 73 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 856891734984 and 856891735002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3476376 + ... + 3714696.

It is an arithmetic number, because the mean of its divisors is an integer number (9308857320).

Almost surely, 2^856891735056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856891735056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489417171200).

856891735056 is an abundant number, since it is smaller than the sum of its proper divisors (2121942607344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

856891735056 is a wasteful number, since it uses less digits than its factorization.

856891735056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238415 (or 238403 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 856891735056 in words is "eight hundred fifty-six billion, eight hundred ninety-one million, seven hundred thirty-five thousand, fifty-six".